Linearization Methods for Stochastic Dynamic Systems

For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. The aim of this book is to give a systematic introduction to and overview of the relatively simple and popular linearization 

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ecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching – quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research and to serve three purposes: • to be a compact and modern up-to-date source of reference on a well-defined topic • to serve as an accessible introduction to the field to postgraduate students and nonspecialist researchers from related areas • to be a source of advanced teaching material for specialized seminars, courses and schools Both monographs and multi-author volumes will be considered for publication. Edited volumes should, however, consist of a very limited number of contributions only. Proceedings will not be considered for LNP. Volumes published in LNP are disseminated both in print and in electronic formats, the electronic archive being available at springerlink.com. The series content is indexed, abstracted and referenced by many abstracting and information services, bibliographic networks, subscription agencies, library networks, and consortia. Proposals should be sent to a member of the Editorial Board, or directly to the managing editor at Springer: Christian Caron Springer Heidelberg Physics Editorial Department I Tiergartenstrasse 17 69121 Heidelberg / Germany [email protected]

L. Socha

Linearization Methods for Stochastic Dynamic Systems

Author Lesław Socha Cardinal Stefan Wyszy´nski University in Warsaw Faculty of Mathematics and Natural Sciences College of Sciences ul.Dewajtis 5 01-815 Warsaw, Poland and University of Silesia Department of Mathematics, Physics and Chemistry ul.Akademicka 4 40-007 Katowice, Poland [email protected]

L. Socha, Linearization Methods for Stochastic Dynamic Systems, Lect. Notes Phys. 730 (Springer, Berlin Heidelberg 2008), DOI 10.1007/978-3-540-72997-6

Library of Congress Control Number: 2007931620

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